Journal
JOURNAL OF FLUID MECHANICS
Volume 678, Issue -, Pages 600-606Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2011.160
Keywords
capillary flows
Categories
Funding
- Britt and Eli Harari Fellowship Program
- NSF [NSF-CBET-0961081]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0902932] Funding Source: National Science Foundation
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The imbibition of liquid into a capillary tube is studied both theoretically and experimentally for sufficiently long tubes where viscous resistance from the gas phase ahead of the moving front is significant. At early times, and as the length of the tube is increased, we observe a systematic deviation from classical theory that cannot be attributed to the inertia of the liquid nor entrance effects. Instead, this behaviour is rationalized by considering the viscous resistance from the gas as it is displaced by the liquid. An explicit analytical solution for a one-dimensional description of the flow is given that accounts for viscous resistance from the displaced fluid. Excellent agreement between experiment and theory is obtained.
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